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Finding the Third Proportional to 102,853,721.53 and 219,656,539.13

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Solution

The third proportional to 102,853,721.53 and 219,656,539.13 is: 469,103,056.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,853,721.53 : 219,656,539.13 = 219,656,539.13 : x
  2. Step 2: Convert to fraction form
    102,853,721.53/219,656,539.13 = 219,656,539.13/x
  3. Step 3: Cross multiply
    102,853,721.53x = 219,656,539.13 × 219,656,539.13
  4. Step 4: Simplify right side
    102,853,721.53x = 48,248,995,180,372,656
  5. Step 5: Solve for x
    x = 48,248,995,180,372,656/102,853,721.53
  6. Step 6: Final answer
    x = 469,103,056.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.